7998849331200 has 1872 divisors, whose sum is σ = 35586707193856. Its totient is φ = 1672151040000.

The previous prime is 7998849331153. The next prime is 7998849331237. The reversal of 7998849331200 is 21339488997.

7998849331200 is a `hidden beast` number, since 7 + 9 + 98 + 8 + 4 + 9 + 331 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10650930825 + ... + 10650931575.

Almost surely, 2^{7998849331200} is an apocalyptic number.

7998849331200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7998849331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17793353596928).

7998849331200 is an abundant number, since it is smaller than the sum of its proper divisors (27587857862656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7998849331200 is a wasteful number, since it uses less digits than its factorization.

7998849331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 7998849331200 in words is "seven trillion, nine hundred ninety-eight billion, eight hundred forty-nine million, three hundred thirty-one thousand, two hundred".